## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1022: 95

#### Answer

a. $-2i-2j$ b. $8i-13j$ c. $-23$ d. $29$

#### Work Step by Step

Given $\vec v=2i-5j$ and $\vec w=-4i+3j$, we have a. $\vec v + \vec w =(2-4)i + (-5+3)j=-2i-2j$ b. $2\vec v - \vec w =(4+4)i + (-10-3)j=8i-13j$ c. $\vec v\cdot \vec w =(2)(-4)+(-5)(3)=-23$ d. $\vec v\cdot \vec v =(2)(2)+(-5)(-5)=29$

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